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Finding the Fourth Proportional to 479.32, 715.73 and 380.71

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Solution

The fourth proportional to 479.32, 715.73 and 380.71 is: 568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.32 : 715.73 = 380.71 : x
  2. Step 2: Convert to fraction form
    479.32/715.73 = 380.71/x
  3. Step 3: Cross multiply
    479.32x = 715.73 × 380.71
  4. Step 4: Simplify right side
    479.32x = 272,481.88
  5. Step 5: Solve for x
    x = 272,481.88/479.32
  6. Step 6: Final answer
    x = 568.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.